This paper deals with various problems in lattice theory involving local extrema. In particular, we construct infinite series of highly symmetric spherical 3-designs which include some of the examples constructed in [9] in dimensions 5 and 7. We also construct new types of dual-extreme lattices. Résumé. Quelques applications de l’algorithme de Voronöı équivariant. Nous considérons dans cet arti...

– We construct algebraic moduli stacks of log structures and give stack-theoretic interpretations of K. Kato’s notions of log flat, log smooth, and log étale morphisms. In the last section we describe the local structure of these moduli stacks in terms of toric stacks.  2003 Elsevier SAS RÉSUMÉ. – Nous construisons des champs algébriques classifiant les structures logarithmiques et donnons de ...

Man’s individual responsibility is a very central notion in Muslim theology. Rational foundations for moral responsibility presuppose, however, that man has in some way control over his actions. It was therefore of central concern to theologians to formulate theories of action that were coherent enough to account for human selfdetermination. This article examines al-Bāqillānī’s reflections on h...

Quadratic forms on complex random matrices and their joint eigenvalue densities are derived for applications in information theory. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials. The derived densities are used to evaluate the most important information-theoretic measures, the so-called ergodi...

The spinor variety is cut out by the quadratic Wick relations among the principal Pfaffians of an n×n skewsymmetric matrix. Its points correspond to n-dimensional isotropic subspaces of a 2n-dimensional vector space. In this paper we tropicalize this picture, and we develop a combinatorial theory of tropical Wick vectors and tropical linear spaces that are tropically isotropic. We characterize ...

We provide an overview of the probability and statistical tools underlying the extreme value theory, which aims to predict occurrence of rare events. Firstly, we explain that the asymptotic distribution of extreme values belongs, in some sense, to the family of the generalised extreme value distributions which depend on a real parameter, called the extreme value index. Secondly, we discuss stat...

This work presents an optimal method of construction of hierarchy of regions with injection of a priori within the framework of the scale set theory. This approach is based on the minimization of an under additive energy in which the spatial a priori is embedded 1 Contexte du travail Dans cet article, nous proposons une approche novatrice de construction de hiérarchie de régions dont l’objectif...

RÉSUMÉ. La mise en place d’OBSERVOX, un observatoire des pratiques agricoles et de leur pression sur la ressource en eau dans le bassin versant de la Vesle, requière l’exploitation d’informations incertaines et imprécises dans un environnement multi-sources. Dans ce travail nous nous intéressons à la gestion des imperfections de données spatiales agro-environnementales, et à la fusion de résult...

— We present hère some facts about recursive function theory that we describe in an abstract jorm; for this we use hère fibered catégories. A first approach ofthis was made by P. Mulry by using of topos theory. Out of the results find hère, we give the first steps towards the treatment of partiality in an abstract form. Résumé. — Nous donnons ici quelques résultats sur les fonctions récursives ...

Résumé. La fusion d’informations issues de plusieurs sources cherche à améliorer la prise de décision. La théorie des fonctions de croyance, pour réaliser cette fusion, utilise des règles de combinaison faisant bien souvent l’hypothèse forte de l’indépendance des sources. Cette hypothèse d’indépendance n’est cependant pas formalisée ni vérifiée. Nous proposons dans cet article un apprentissage ...